TY - JOUR

T1 - Light cones for open quantum systems in the continuum

AU - Breteaux, Sébastien

AU - Faupin, Jérémy

AU - Lemm, Marius

AU - Ou Yang, Dong Hao

AU - Sigal, Israel Michael

AU - Zhang, Jingxuan

N1 - Publisher Copyright: © World Scientific Publishing Company.

PY - 2024

Y1 - 2024

N2 - We consider Markovian open quantum dynamics (MOQD) in the continuum. We show that, up to small-probability tails, the supports of quantum states evolving under such dynamics propagate with finite speed in any finite-energy subspace. More precisely, we prove that if the initial quantum state is localized in space, then any finite-energy part of the solution of the von Neumann–Lindblad equation is approximately localized inside an energy-dependent light cone. We also obtain an explicit upper bound for the slope of this light cone.

AB - We consider Markovian open quantum dynamics (MOQD) in the continuum. We show that, up to small-probability tails, the supports of quantum states evolving under such dynamics propagate with finite speed in any finite-energy subspace. More precisely, we prove that if the initial quantum state is localized in space, then any finite-energy part of the solution of the von Neumann–Lindblad equation is approximately localized inside an energy-dependent light cone. We also obtain an explicit upper bound for the slope of this light cone.

KW - Maximal propagation speed

KW - open quantum systems

KW - quantum information

KW - quantum light cones

UR - http://www.scopus.com/inward/record.url?scp=85190531425&partnerID=8YFLogxK

U2 - 10.1142/S0129055X24600043

DO - 10.1142/S0129055X24600043

M3 - Journal article

AN - SCOPUS:85190531425

JO - Reviews in Mathematical Physics

JF - Reviews in Mathematical Physics

SN - 0129-055X

M1 - 2460004

ER -